Harmonic maps and the topology of stable hypersurfaces and manifolds with non-negative ricci curvature

1976/12/01 by Richard Shoen, Shing Tung Yau · 4 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Combinatorics #Curvature #Curvature of Riemannian manifolds #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Harmonic #Harmonic map #Manifold (fluid mechanics) #Mathematical analysis #Mathematics #Negative curvature #Physics #Pure mathematics #Ricci curvature #Ricci flow #Ricci-flat manifold #Scalar curvature #Sectional curvature #Topology (electrical circuits)

paper · doi:10.1007/bf02568161

crossref issued 1976/12/01 · crossref published 1976/12/01 · crossref published-print 1976/12/01 · openalex publication_date 1976/12/01 · crossref created 2007/03/22 · crossref deposited 2024/10/21 · openalex created_date 2025/10/10 · crossref indexed 2026/03/11 · openalex updated_date 2026/07/04

Citations

• Harmonic Mappings of Riemannian Manifolds
• On Complete Open Manifolds of Positive Curvature
• On the Structure of Complete Manifolds of Nonnegative Curvature

Cited by

• Archimedean Superrigidity and Hyperbolic Geometry
• Stokes' theorem, volume growth and parabolicity
• Harmonic map [wikipedia]
• Shing-Tung Yau [wikipedia]